Title :
New orthogonal series approach to state-space analysis of 1-D and 2-D discrete systems
Author :
Paraskevopoulos, P.N. ; Diamantaras, K.I.
Author_Institution :
Dept. of Electr. Eng., Athens Univ., Zografou, Greece
fDate :
6/1/1990 12:00:00 AM
Abstract :
An orthogonal series approach is presented for state-space analysis of 1-D and 2-D linear time-invariant discrete systems. This approach makes use of the backward shift operation matrix derived in the paper, and yields explicit expressions for the state and output orthogonal coefficient matrixes. These expressions involve only multiplication of small dimension matrixes thus simplifying the computational effort as compared to known orthogonal function techniques, where the inversion of large matrixes is required
Keywords :
computational complexity; control system analysis; discrete systems; linear systems; matrix algebra; multidimensional systems; series (mathematics); state-space methods; 1D systems; 2D systems; backward shift operation matrix; control system analysis; discrete systems; linear time-invariant systems; orthogonal series; output orthogonal coefficient matrixes; state-space analysis;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings G
